# MEAN VALUE OF THE CHARACTER SUMS OVER INTERVAL

@inproceedings{Xu2009MEANVO, title={MEAN VALUE OF THE CHARACTER SUMS OVER INTERVAL}, author={Zhefeng Xu}, year={2009} }

- Published 2009
DOI:10.11650/tjm.13.2009.537

Let $q>8$ be an odd integer and $p$ a prime with $p$ a prime with $p<q$ and $p\nmid q$. The main purpose of this paper is to study the mean value properties of the character sums over interval $\left[1, \frac{q}{8}\right)$ by using the mean value theorems of the Dirichlet L-functions, and give some interesting mean value formulae.

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